Question 28
Five friends make the following statements respectively.
"However one of us is chosen, the other 4 are lying."
"However one of us is chosen, the other 4 tell the truth."
"However one of us is chosen, there is another who tells the truth."
"There is one of us such that everyone else tells the truth."
"There is one of us such that everyone else lies."
Which of the following statements can be deduced from the previous ones?
(A) Exactly 1 is true.
(B) Exactly 2 are true.
(C) Exactly 3 are true.
(D) Exactly 4 are telling the truth.
(E) It is not possible to determine the number of those who tell the truth.
"However one of us is chosen, the other 4 are lying."
"However one of us is chosen, the other 4 tell the truth."
"However one of us is chosen, there is another who tells the truth."
"There is one of us such that everyone else tells the truth."
"There is one of us such that everyone else lies."
Which of the following statements can be deduced from the previous ones?
(A) Exactly 1 is true.
(B) Exactly 2 are true.
(C) Exactly 3 are true.
(D) Exactly 4 are telling the truth.
(E) It is not possible to determine the number of those who tell the truth.